The implementation of open governments is a trend in recent years in democratic countries, of which Ecuador is a part. Reaching its correct development and operation represents a challenge and an opportunity for the sectors that make up society, including the judicial system. The present investigation is based on the analysis of open government and how it can be brought to reality in the Ecuadorian judicial system, taking into account that like any phenomenon of practical life, it presents a certain degree of indeterminacy in the information analyzed. Methods such as PESTEL analysis, cognitive maps, and neutrosophic soft sets were used. The conditions that must be guaranteed for the application of an open government in Ecuador and the interrelationships between them were determined which were plotted through a neutrosophic cognitive map. Then, the neutrosophic soft sets were applied for the hierarchy of these conditions, determining that in the first place the judicial system should be strengthened through an increase in the mechanisms of citizen participation